Pith Number

pith:P2OREFIC

pith:2018:P2OREFICG6NZXG4XTCFMATN3LT

not attested not anchored not stored refs pending

Iterated logarithms and gradient flows

Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich, Pranav Pandit

arxiv:1802.04123 v1 · 2018-02-12 · math.RT · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2OREFICG6NZXG4XTCFMATN3LT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:23:46.751472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9d121502379b9b9b97988ac04dbb5cc92f1c34287c5c4577725e0699fd1c26

Aliases

arxiv: 1802.04123 · arxiv_version: 1802.04123v1 · doi: 10.48550/arxiv.1802.04123 · pith_short_12: P2OREFICG6NZ · pith_short_16: P2OREFICG6NZXG4X · pith_short_8: P2OREFIC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/P2OREFICG6NZXG4XTCFMATN3LT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7e9d121502379b9b9b97988ac04dbb5cc92f1c34287c5c4577725e0699fd1c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e26944dfe5b9455050e021d953a0250e1f5edeace0dde2a8ca34c093421c44e",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-02-12T15:35:51Z",
    "title_canon_sha256": "89a9b7e88b129f5df1ac67e4091c769db5685264a2b0b1aea50a5f1e8726b78d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04123",
    "kind": "arxiv",
    "version": 1
  }
}